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Finding the Fourth Proportional to 13,822.88, 19,075.98 and 7,854.80

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Solution

The fourth proportional to 13,822.88, 19,075.98 and 7,854.80 is: 10,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.88 : 19,075.98 = 7,854.80 : x
  2. Step 2: Convert to fraction form
    13,822.88/19,075.98 = 7,854.80/x
  3. Step 3: Cross multiply
    13,822.88x = 19,075.98 × 7,854.80
  4. Step 4: Simplify right side
    13,822.88x = 149,838,007.70
  5. Step 5: Solve for x
    x = 149,838,007.70/13,822.88
  6. Step 6: Final answer
    x = 10,839.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.